Fuzzy Probabilities: New Approach and Applications (Studies in Fuzziness and Soft Computing)
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ISBN |
3540250336 |
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Category |
Soft Computing |
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Tags |
fuzzy, fuzzy logic, "soft computing", computing, fuzzy set, fuzzy set theory, proba, fuzz, 3540250336, "fuzzy",
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Description
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In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory. |
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